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Simplifying -7v + -4(6 + -3v) = 36 + -7v -7v + (6 * -4 + -3v * -4) = 36 + -7v -7v + (-24 + 12v) = 36 + -7v Reorder the terms: -24 + -7v + 12v = 36 + -7v Combine like terms: -7v + 12v = 5v -24 + 5v = 36 + -7v Solving -24 + 5v = 36 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -24 + 5v + 7v = 36 + -7v + 7v Combine like terms: 5v + 7v = 12v -24 + 12v = 36 + -7v + 7v Combine like terms: -7v + 7v = 0 -24 + 12v = 36 + 0 -24 + 12v = 36 Add '24' to each side of the equation. -24 + 24 + 12v = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 12v = 36 + 24 12v = 36 + 24 Combine like terms: 36 + 24 = 60 12v = 60 Divide each side by '12'. v = 5 Simplifying v = 5
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